Question
Using MGF
11. (5 marks) Two customers, Bob and Mary, arrive at an occupied service counter at the same time Bob insists Mary go ahead of him. Let X denote the time (in minutes) until Mary can be served and y be the time (in minutes) until Bob is served. Suppose the joint density of X and Y is 0 otherwise Find the moment-generating function of U =-aln(X/Y), what is the distribution of U?
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